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Noether and the Adjoint Curves

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What is the Genus?

Part of the book series: Lecture Notes in Mathematics ((HISTORYMS,volume 2162))

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Abstract

As explained in the previous chapter, Cayley used the curves passing through the singular points of C in order to study a given plane projective curve C. Max Noether called such curves the adjoints of C. One has the following theorem, going back to Riemann [161], then refined by Clebsch , Gordan and Noether:

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References

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Popescu-Pampu, P. (2016). Noether and the Adjoint Curves. In: What is the Genus?. Lecture Notes in Mathematics(), vol 2162. Springer, Cham. https://doi.org/10.1007/978-3-319-42312-8_22

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